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intersection graph

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  • Intersection graph — In the mathematical area of graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph may be represented as an intersection graph, but some important special classes of graphs may… …   Wikipedia

  • Intersection number (graph theory) — In the mathematical field of graph theory, the intersection number of a graph is the smallest number of elements in a representation of G as an intersection graph of finite sets. Equivalently, it is the smallest number of cliques needed to cover… …   Wikipedia

  • Intersection (set theory) — Intersections of the Greek, Latin and Russian alphabet (upper case graphemes) (The intersection of Greek and Latin letters is used for the Greek licence plates.) …   Wikipedia

  • Graph drawing — This article is about the general subject of graph drawing. For the annual research symposium, see International Symposium on Graph Drawing. Graphic representation of a minute fraction of the WWW, demonstrating hyperlinks. Graph drawing is an… …   Wikipedia

  • graph — /graf, grahf/, n. 1. a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc. 2. Math. a. a series of points, discrete or continuous, as in forming a curve or… …   Universalium

  • Intersection array — In graph theory, given a distance regular graph G of diameter d , by definition there are integers b i and c i such that given any two vertices x and y in G at distance i , y has b i neighbours at distace i +1 from x and c i neighbours at… …   Wikipedia

  • Chordal graph — A cycle (black) with two chords (green). As for this part, the graph is chordal. However, removing one green edge would result in a non chordal graph. Indeed, the other green edge with three black edges would form a cycle of length four with no… …   Wikipedia

  • Circle graph — For the chart, see Pie chart. A circle with five chords and the corresponding circle graph. In graph theory, a circle graph is the intersection graph of a set of chords of a circle. That is, it is an undirected graph whose vertices can be… …   Wikipedia

  • Geometric graph theory — In mathematics, a geometric graph is a graph in which the vertices or edges are associated with geometric objects or configurations. Geometric graph theory is a specialization of graph theory that studies geometric graphs. Notable geometric… …   Wikipedia

  • Distance-hereditary graph — A distance hereditary graph. In graph theoretic mathematics, a distance hereditary graph (also called a completely separable graph)[1] is a graph in which the distances in any connected induced subgraph are the same as they are in the original… …   Wikipedia

  • Line graph of a hypergraph — The line graph of a hypergraph is the graph whose vertex set is the set of the hyperedges of the hypergraph, with two edges adjacent when they have nonempty intersection. In other words, the line graph of a hypergraph is the intersection graph of …   Wikipedia

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